COMO determinAR o mdc e o mmc.
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Bom dia Suelle!
Solução!
Para se determinar o MDC e o MMC tem que prestar atenção nas letras e números.
MDC=Maior divisor comum.
MMC=Menor divisor comum.
![a)~~~\\\\
7 x^{3}y^{2}~~21 x^{2} y^{4}z~~ 14x^{5}y^{3}z^{2}|2 x^{5} y^{2}z^{2} \\\\\\
7 ~~21 ~~ 7 |3\\\\\
7 ~~7 ~~ 7 |7\\\\\
1~~1~~1\\\\\\
MMC=2.3.7. x^{5} y^{2}z^{2}\\\\\\\
\boxed{Resposta:MMC=42x^{5} y^{2}z^{2}}\\\\\\\
\boxed{Resposta:MDC=7 x^{2} y^{2}}](https://tex.z-dn.net/?f=a%29%7E%7E%7E%5C%5C%5C%5C%0A7+x%5E%7B3%7Dy%5E%7B2%7D%7E%7E21+x%5E%7B2%7D+y%5E%7B4%7Dz%7E%7E+14x%5E%7B5%7Dy%5E%7B3%7Dz%5E%7B2%7D%7C2+x%5E%7B5%7D+y%5E%7B2%7Dz%5E%7B2%7D+%5C%5C%5C%5C%5C%5C%0A7+%7E%7E21+%7E%7E+7+%7C3%5C%5C%5C%5C%5C%0A7+%7E%7E7+%7E%7E+7+%7C7%5C%5C%5C%5C%5C%0A1%7E%7E1%7E%7E1%5C%5C%5C%5C%5C%5C%0AMMC%3D2.3.7.+x%5E%7B5%7D+y%5E%7B2%7Dz%5E%7B2%7D%5C%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%3AMMC%3D42x%5E%7B5%7D+y%5E%7B2%7Dz%5E%7B2%7D%7D%5C%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%3AMDC%3D7+x%5E%7B2%7D+y%5E%7B2%7D%7D+%0A++++++ "a)~~~\\\\
7 x^{3}y^{2}~~21 x^{2} y^{4}z~~ 14x^{5}y^{3}z^{2}|2 x^{5} y^{2}z^{2} \\\\\\
7 ~~21 ~~ 7 |3\\\\\
7 ~~7 ~~ 7 |7\\\\\
1~~1~~1\\\\\\
MMC=2.3.7. x^{5} y^{2}z^{2}\\\\\\\
\boxed{Resposta:MMC=42x^{5} y^{2}z^{2}}\\\\\\\
\boxed{Resposta:MDC=7 x^{2} y^{2}}")
![b)\\\\
28 x^{2} y^{4}z^{3}~~56 x^{3} yz^{4}~~16yz^{3}w|2 x^{3}y^{4}z^{4}\\\\\
14 ~~28 ~~8| 2\\\\\
7~~~14~~4|2\\\\
7~~~7~~~2|2\\\\
7~~~7~~~1|2\\\\
1~~~1~~~1\\\\\\\\\
MMC=2.2.2.2.7 . x^{3}y^{4}z^{4}\\\\\
MMC=112 . x^{3}y^{4}z^{4}\\\\\\
MDC=4xyz^3\\\\\
\boxed{Resposta: MMC=112 . x^{3}y^{4}z^{4}}\\\\\
\boxed{Resposta:MDC=4xyz^3}](https://tex.z-dn.net/?f=b%29%5C%5C%5C%5C%0A28+x%5E%7B2%7D+y%5E%7B4%7Dz%5E%7B3%7D%7E%7E56+x%5E%7B3%7D+yz%5E%7B4%7D%7E%7E16yz%5E%7B3%7Dw%7C2+x%5E%7B3%7Dy%5E%7B4%7Dz%5E%7B4%7D%5C%5C%5C%5C%5C%0A14+%7E%7E28+%7E%7E8%7C+2%5C%5C%5C%5C%5C%0A7%7E%7E%7E14%7E%7E4%7C2%5C%5C%5C%5C%0A7%7E%7E%7E7%7E%7E%7E2%7C2%5C%5C%5C%5C%0A7%7E%7E%7E7%7E%7E%7E1%7C2%5C%5C%5C%5C%0A1%7E%7E%7E1%7E%7E%7E1%5C%5C%5C%5C%5C%5C%5C%5C%5C%0AMMC%3D2.2.2.2.7+.+x%5E%7B3%7Dy%5E%7B4%7Dz%5E%7B4%7D%5C%5C%5C%5C%5C%0AMMC%3D112+.+x%5E%7B3%7Dy%5E%7B4%7Dz%5E%7B4%7D%5C%5C%5C%5C%5C%5C%0AMDC%3D4xyz%5E3%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%3A+MMC%3D112+.+x%5E%7B3%7Dy%5E%7B4%7Dz%5E%7B4%7D%7D%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%3AMDC%3D4xyz%5E3%7D+++++ "b)\\\\
28 x^{2} y^{4}z^{3}~~56 x^{3} yz^{4}~~16yz^{3}w|2 x^{3}y^{4}z^{4}\\\\\
14 ~~28 ~~8| 2\\\\\
7~~~14~~4|2\\\\
7~~~7~~~2|2\\\\
7~~~7~~~1|2\\\\
1~~~1~~~1\\\\\\\\\
MMC=2.2.2.2.7 . x^{3}y^{4}z^{4}\\\\\
MMC=112 . x^{3}y^{4}z^{4}\\\\\\
MDC=4xyz^3\\\\\
\boxed{Resposta: MMC=112 . x^{3}y^{4}z^{4}}\\\\\
\boxed{Resposta:MDC=4xyz^3}")
![d)\\\\
\dfrac{1 x^{2} }{2}~~ \dfrac{3 x^{3} }{4}~~ \dfrac{5 x^{4} }{8}| \dfrac{1}{2} x^{4}\\\\\\\
1~~ \dfrac{3}{2}~~ \dfrac{5 }{4}| \dfrac{1}{2}\\\\\\
1~~3~~ \dfrac{5}{2}| \dfrac{1}{2} \\\\
1~~3~~5|3\\\\
1~~1~~5|5\\\\
1~~1~~1\\\\\\
MMC= \dfrac{1}{2}.5.3x^{4}\\\\
MMC= \dfrac{15}{2}x^{4}\\\\\\\\\
MDC= \dfrac{1}{2}. \dfrac{1}{2}. \dfrac{1}{2}. x^{2}\\\\\\
MDC= \dfrac{1 x^{2} }{8}\\\\\\\\
\boxed{Resposta:MMC= \dfrac{15}{2}x^{4}}\\\\\\
\boxed{Resposta:MDC=\dfrac{1 x^{2} }{8}}](https://tex.z-dn.net/?f=d%29%5C%5C%5C%5C%0A+%5Cdfrac%7B1+x%5E%7B2%7D+%7D%7B2%7D%7E%7E+%5Cdfrac%7B3+x%5E%7B3%7D+%7D%7B4%7D%7E%7E+%5Cdfrac%7B5+x%5E%7B4%7D+%7D%7B8%7D%7C+%5Cdfrac%7B1%7D%7B2%7D+x%5E%7B4%7D%5C%5C%5C%5C%5C%5C%5C%0A1%7E%7E+%5Cdfrac%7B3%7D%7B2%7D%7E%7E+%5Cdfrac%7B5++%7D%7B4%7D%7C++%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5C%5C%0A1%7E%7E3%7E%7E+%5Cdfrac%7B5%7D%7B2%7D%7C+%5Cdfrac%7B1%7D%7B2%7D+%5C%5C%5C%5C%0A1%7E%7E3%7E%7E5%7C3%5C%5C%5C%5C%0A1%7E%7E1%7E%7E5%7C5%5C%5C%5C%5C%0A1%7E%7E1%7E%7E1%5C%5C%5C%5C%5C%5C%0AMMC%3D+%5Cdfrac%7B1%7D%7B2%7D.5.3x%5E%7B4%7D%5C%5C%5C%5C%0AMMC%3D+%5Cdfrac%7B15%7D%7B2%7Dx%5E%7B4%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C%0AMDC%3D+%5Cdfrac%7B1%7D%7B2%7D.+%5Cdfrac%7B1%7D%7B2%7D.+%5Cdfrac%7B1%7D%7B2%7D.+x%5E%7B2%7D%5C%5C%5C%5C%5C%5C%0AMDC%3D+%5Cdfrac%7B1+x%5E%7B2%7D+%7D%7B8%7D%5C%5C%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%3AMMC%3D+%5Cdfrac%7B15%7D%7B2%7Dx%5E%7B4%7D%7D%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%3AMDC%3D%5Cdfrac%7B1+x%5E%7B2%7D+%7D%7B8%7D%7D "d)\\\\
\dfrac{1 x^{2} }{2}~~ \dfrac{3 x^{3} }{4}~~ \dfrac{5 x^{4} }{8}| \dfrac{1}{2} x^{4}\\\\\\\
1~~ \dfrac{3}{2}~~ \dfrac{5 }{4}| \dfrac{1}{2}\\\\\\
1~~3~~ \dfrac{5}{2}| \dfrac{1}{2} \\\\
1~~3~~5|3\\\\
1~~1~~5|5\\\\
1~~1~~1\\\\\\
MMC= \dfrac{1}{2}.5.3x^{4}\\\\
MMC= \dfrac{15}{2}x^{4}\\\\\\\\\
MDC= \dfrac{1}{2}. \dfrac{1}{2}. \dfrac{1}{2}. x^{2}\\\\\\
MDC= \dfrac{1 x^{2} }{8}\\\\\\\\
\boxed{Resposta:MMC= \dfrac{15}{2}x^{4}}\\\\\\
\boxed{Resposta:MDC=\dfrac{1 x^{2} }{8}}")
Bom dia!
Bons estudos!
Solução!
Para se determinar o MDC e o MMC tem que prestar atenção nas letras e números.
MDC=Maior divisor comum.
MMC=Menor divisor comum.
Bom dia!
Bons estudos!
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